y (-1, 1) sin(e) cos(e) ante

Q: 7-4х 3. У 3 5+ 2х

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Q: A helicopter is heading N 33° E (i.e. direction angle of 57°) with an airspeed of 17 mph, and the wi...

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Q: What is the least possible degree c

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Q: 4x³y – 15x² – y )dx +(x* +3y² – x)dy=0

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Q: To test this series for convergence n° +1 1 where p no You could use the Limit Comparison Test, comp...

A: NOTE: Refresh your page if you can't see any equations. . use the comparison test

Q: For the given double integral, sketch the region of integration and reverse the order of integration...

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Q: 20. The fourth derivative of y = Jx-1 is 15 В. - 16 8 D. - (x-1) 16 A. (x-1) C. - 8

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Q: 4. f(x) = x² + 4x 5 %3D -

A: As per our guidelines we are supposed to answer only first three parts.kindly repost others part as ...

Q: dy/dx% 3 sec 2xsec3y

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Q: se the Chain Rule to find the indicated partial derivatives. z = x4 + x2y,    x = s + 2t − u,    y ...

A: The given function is: z=x4+x2y,       x=s+2t-u,       y=stu2

Q: Find the diffetential equation of the family of plane curves described, Draw at least three members ...

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Q: Let f(x) = x² – 3x+ 4 and g(x) = Vx – 3. Find the following - - (a) f(0) (b) f(2) (c) g(12) (d) g(4)

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Q: Find the given 5x? cos 2x dx. Using this: "uv – f v du"

A: NOTE: Refresh your page if you can't see any equations. . use integration by parts take 

Q: (b) Find an operator A that annihlates the following functions. i. In(x) ii. to , α ε R iii. sin(3 I...

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Q: Evaluate 5x² cos 2x dx.

A: Given query is to find value of the integral.

Q: Solve log æ = 1 – log(æ – 3). If there is more than one solution, write the numbers in ascending ord...

A: Given that, The equation is following, log(x) = 1 - log(x - 3) we have to find the solution of this ...

Q: Differentiate y = sin(3x + 4y) cos(3x+4y) 1+ 4 cos(3x+4y) з cos(3x+4y) 1+4 cos(3x+4y) cos(3x+4y) a. ...

A: y=sin3x+4y

Q: 2. Find the local maximum, minimum values and saddle point(s) of the function, if any. f(х, у) %3D х...

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Q: (a) Show that the limit x*ycosy lim 12 (xy)→(0.0) 2x* +y² does not exist.

A: Student has specifically asked for the solution to question (a). 

Q: xy' + (1 + x)y = e* sin 2x %3D

A: xdydx+1+xy=e-xsin2x

Q: Calculus Question

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Q: Question 3 (a) Show that the limit łycosy lim (x.y)→(0,0) 2x4 +y² does not exist.

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Q: sure: Solve over [0,2n) 1. 2sin2x - 7sinx - 4 = 0 (2)

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Q: 4 lim 5. lim + 61 6 lm

A: This question is based on Limits.

Q: Find the length of the arc if f(x) = In(cos x) and 0 s x %3D 2. Find the length of the arc formed by...

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: dx 1+ ×°yス 2Y - 1+(xy)². 2x + X

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Q: Determine the slope and the y-intercept of the line. 1) 6x - 5y = 4 1)

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Q: (b) If u = x² cos y+ye", where x = s+2t and y = st, prove that ди ди 2 = (s – 2t) (x siny– xye – e")...

A: u=x2cosy+yexyx=s+2ty=st

Q: 3 +1 mect

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Q: (b) If f(x) = anx", specify the domain of f. %3D

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Q: Finding the Area of a Triangle Use the diagram of the triangle in Figure A to answer the questions. ...

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Q: 3x2y + ey )dx + ( x³ + xev – 2y)dy=0

A: This equation is of the form Mdx+Ndy=0M=3x2y+ey ,N=x3+xey-2yChecking for exactness∂M∂y=3x2+ey ∂N∂x=3...

Q: (a) Show that the limit xżycos y lim (x.y)→(0,0) 2x+ +y² does not exist. (b) If u = x cos y+ ye», wh...

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Q: (S) possit Given In 6=1.7918 and In 23 =3.1355, find the value of the following logarithm without us...

A: We will use the fact that  ln(a/b)=ln(a)-ln(b).

Q: Given the function g(x)=−2cos x, calculate g′(7π6).

A: Given: gx=-2cosx   We know that, a·f'=a·f', where a is the constant. And The derivative of cosx is; ...

Q: Aradioactive chemical has a decay rate of approximately 5% per year Suppose that thès chemical is re...

A: The amount of radio active substance remains after t years is given by             A = pk1-e-kt     ...

Q: (b) If u =x cos y+ye", where x = s+2t and y = st, prove that %3D ди ди 2 (s – 21) (x² siny – xye" – ...

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Q: There are ​$320 available to fence in a rectangular garden. The fencing for the side of the garden f...

A: We need to find x and y.

Q: Explain why the integral ex* dx is convergent.

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Q: Graph the line x - 2y = 4 and find its intercepts. %3D

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Q: y Iny Ae^+ Bex

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Q: Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region...

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Q: Find x*y°dx where C is the arc of the curve x = y? from (0,0) to (9,3) %3D

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Q: 10. A trough at the end of a gutter spout is mcant to direct water away from the house. The homeowne...

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Q: 1. State the Chain Rule: a. z= f (x, y) is a differentiable function and x = s(t), y = p(t) - are fu...

A: Given z=f(x,y) To state the chain rule

Q: Differentiate (xy)* = e a. y' = Y(1+lnxy) c. y' = Y(1-Inxy) b. y' = x(1+lnxy) d. y' =Y(1+ln xy) y

A: (xy)x=e Take logarithm on both sides: ln(xy)x=lne ln(e)=1: ln(xy)x=1  

Q: A rectangular garden of area 480 square feet is to be surrounded on three sides by a brick wall cos...

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Q: 20/(1+e(-.25)(t-10)) At what two points is the population growing the slowest?

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Q: rite the nrst erms of sec ice: {Vn² + 2n – n}-1 +oo Determine whether the sequence converges, and if...

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Q: (b) Explain why the integral e x'dx is convergent.

A: Improper integral : If f(x) is continuous on [a,∞) , then the improper integral of f over [a,∞) is  ...